EduSahara™ Worksheet

Question 1

1.

In the given figure, △FGH is right angled at G. If GH = 11 cm and ∠H = 30°, find FG and FH

(i)
11
3

4
√

3

cm

&

22

cm
(ii)
11
3

√

3

cm

&

22
3

√

3

cm
(iii)
11
3

4
√

1
3

cm

&

25

cm
(iv)
11
3

4
√

3

cm

&

25

cm
(v)
11
3

4
√

3

cm

&

22
3

√

3

cm

Question 2

2.

In the given figure, △JKL is right angled at K. If KL = 12 cm and ∠L = 45°, find JK and JL

(i)
13

cm

&

27

cm
(ii)
13

cm

&

12

√

2

cm
(iii)
11

cm

&

27

cm
(iv)
13

cm

&

24

cm
(v)
12

cm

&

12

√

2

cm

Question 3

3.

In the given figure, △DEF is right angled at E. If EF = 10 cm and ∠F = 60°, find DE and DF

(i)
10

4
√

3

cm

&

20

cm
(ii)
10

4
√

1
3

cm

&

21

cm
(iii)
10

√

3

cm

&

20

cm
(iv)
10

4
√

3

cm

&

21

cm
(v)
10

4
√

3

cm

&

19

cm

Question 4

4.

In the given figure, △ACB is right angled at B. If AB = 8 cm and ∠C = 30°, find AC

(i)

18

cm
(ii)

13

cm
(iii)

17

cm
(iv)

16

cm
(v)

15

cm

Question 5

5.

In the given figure, △FHG is right angled at G. If FG = 8 cm and ∠H = 30°, find GH

(i)

8

√

18

cm
(ii)

8

cm
(iii)

8

√

3

cm
(iv)

12

√

2

cm
(v)

24

cm

Question 6

6.

In the given figure, △ACB is right angled at B. If AB = 9 cm and ∠C = 30°, find AD

(i)

5

cm
(ii)

7
2

cm
(iii)

11
2

cm
(iv)

9
2

cm
(v)

17
4

cm

Question 7

7.

In the given figure, △ACB is right angled at B. If AB = 9 cm and ∠C = 30°, find CD

(i)

29
2

cm
(ii)

25
2

cm
(iii)

27
4

cm
(iv)

27
2

cm
(v)

27

cm

Question 8

8.

In the given figure, △CED is right angled at D. If CD = 15 cm and ∠E = 45°, find CE

(i)

15
2

√

12

cm
(ii)

30

cm
(iii)

30

√

3

cm
(iv)

15

√

2

cm
(v)

15

cm

Question 9

9.

In the given figure, △HJI is right angled at I. If HI = 15 cm and ∠J = 45°, find IJ

(i)

13

cm
(ii)

15

cm
(iii)

18

cm
(iv)

14

cm
(v)

16

cm

Question 10

10.

In the given figure, △GIH is right angled at H. If GH = 13 cm and ∠I = 45°, find GJ

(i)

13
2

cm
(ii)

13

cm
(iii)

13
4

√

12

cm
(iv)

13
2

√

2

cm
(v)

13

√

3

cm

Question 11

11.

In the given figure, △HJI is right angled at I. If HI = 16 cm and ∠J = 45°, find JK

(i)

4

√

12

cm
(ii)

8

√

2

cm
(iii)

16

cm
(iv)

16

√

3

cm
(v)

8

cm

Question 12

12.

In the given figure, △EGF is right angled at F. If EF = 28 cm and ∠G = 60°, find EG

(i)

56
3

√

3

cm
(ii)

56
3

√

18

cm
(iii)

56
3

cm
(iv)

56

cm
(v)

28

√

2

cm

Question 13

13.

In the given figure, △IKJ is right angled at J. If IJ = 21 cm and ∠K = 60°, find JK

(i)

21

cm
(ii)

7

√

3

cm
(iii)

21
2

√

2

cm
(iv)

7

cm
(v)

7

√

18

cm

Question 14

14.

In the given figure, △CED is right angled at D. If CD = 26 cm and ∠E = 60°, find CF

(i)

13

cm
(ii)

13

√

3

cm
(iii)

13

√

18

cm
(iv)

39

cm
(v)

39
2

√

2

cm

Question 15

15.

In the given figure, △GIH is right angled at H. If GH = 22 cm and ∠I = 60°, find IJ

(i)

11
3

√

3

cm
(ii)

11

cm
(iii)

11
2

√

2

cm
(iv)

11
3

√

18

cm
(v)

11
3

cm

Question 16

16.

A chord of 16 cm subtends an angle of 90° at the centre. Calculate its shortest distance from the centre

(i)

10.0 cm
(ii)

7.0 cm
(iii)

6.0 cm
(iv)

9.0 cm
(v)

8.0 cm

Question 17

17.

An equilateral triangle is inscribed in a circle of radius 10 cm. Find the length of its sides.

(i)

10

√

18

cm
(ii)

10

cm
(iii)

15

√

2

cm
(iv)

30

cm
(v)

10

√

3

cm

Question 18

18.

In the given figure, △ABC is a right angle triangle with ∠C = 90° and BC = 15 cm. R is the mid-point of AC. Find RC

(i)

15
2

cm
(ii)

5
2

cm
(iii)

15
4

√

2

cm
(iv)

5
2

√

3

cm
(v)

5
2

√

18

cm

Question 19

19.

In the given figure, △FGH is a right angle triangle with ∠H = 90° and GH = 13 cm. P is the mid-point of FH. Find ∠PGH using tables.

(i)

16 ° 6 '
(ii)

14 ° 6 '
(iii)

18 ° 6 '
(iv)

19 ° 6 '
(v)

13 ° 6 '

Question 20

20.

In the given figure, △IJK is a right angle triangle with ∠K = 90° and JK = 14 cm. T is the mid-point of IK. Find the length of the altitude from K to IJ.

(i)

5

cm
(ii)

7

cm
(iii)

8

cm
(iv)

10

cm
(v)

6

cm

Question 21

21.

In the given figure, △JKL is a right angle triangle with ∠L = 90° and KL = 17 cm. R is the mid-point of JL. Find ∠RKJ using tables.

(i)

13 ° 54 '
(ii)

11 ° 54 '
(iii)

16 ° 54 '
(iv)

15 ° 54 '
(v)

10 ° 54 '

Question 22

22.

In the given figure, △FGH is a right angle triangle with ∠H = 90° and GH = 15 cm. P is the mid-point of FH. Find PH

(i)

29
4

cm
(ii)

13
2

cm
(iii)

8

cm
(iv)

17
2

cm
(v)

15
2

cm

Question 23

23.

In the given figure, △CDE is a right angle triangle with ∠E = 90° and DE = 17 cm. P is the mid-point of CE. Find ∠PDE using tables.

(i)

29 ° 34 '
(ii)

28 ° 34 '
(iii)

26 ° 34 '
(iv)

24 ° 34 '
(v)

23 ° 34 '

Question 24

24.

In the given figure, △ABC is a right angle triangle with ∠C = 90° and BC = 17 cm. P is the mid-point of AC. Find the length of the altitude from C to AB.

(i)

17

cm
(ii)

17
4

√

12

cm
(iii)

17
2

cm
(iv)

17

√

3

cm
(v)

17
2

√

2

cm

Question 25

25.

In the given figure, △CDE is a right angle triangle with ∠E = 90° and DE = 14 cm. S is the mid-point of CE. Find ∠SDC using tables.

(i)

15 ° 26 '
(ii)

20 ° 26 '
(iii)

18 ° 26 '
(iv)

21 ° 26 '
(v)

16 ° 26 '

Question 26

26.

In the given figure, △FGH is a right angle triangle with ∠H = 90° and GH = 16 cm. Q is the mid-point of FH. Find QH

(i)

8

√

18

cm
(ii)

24

cm
(iii)

8

√

3

cm
(iv)

8

cm
(v)

12

√

2

cm

Question 27

27.

In the given figure, △BCD is a right angle triangle with ∠D = 90° and CD = 16 cm. R is the mid-point of BD. Find ∠RCD using tables.

(i)

38 ° 53 '
(ii)

43 ° 53 '
(iii)

40 ° 53 '
(iv)

37 ° 53 '
(v)

42 ° 53 '

Question 28

28.

In the given figure, △CDE is a right angle triangle with ∠E = 90° and DE = 13 cm. R is the mid-point of CE. Find the length of the altitude from E to CD.